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SSS/SAS/ASA
Postulate 19
SSS (Side-Side-Side) Postulate
3 sides
3 sides
If ____________
of one triangle are congruent to _____________
of a second triangle, then the triangles are congruent.
P
PE
Example 1: __________
is the included side between  P and  E .
Angle I is the included angle between PI and IE .
__________
I
E
Included angle
Postulate 20
SAS (Side-Angle-Side) Postulate
two sides of one triangle and the included angle of one
If _________________________________________________
two sides of another triangle and
triangle are congruent to ____________________________________
______________
the included
angle of a second triangle, then the triangles are congruent.
Included angle
Postulate 21
ASA (Angle-Side-Angle) Postulate
two angles and the included side
If __________________________________________________of
one
two angles and the included side
triangle are congruent to _____________________________________
_______________ of a second triangle, then the triangles are congruent.
Included side
Example 3: Determine whether each pair of triangles can be proven congruent by using the congruence
postulates. If so, write a congruence statement and identify the postulate used. None is a possible answer.
Given:  E   O,  T   B, ET  BO
I
Given:  F   O,  R   L,  Y   I
R
W
L
F
E
T
B
𝐴𝑆𝐴
∆𝐼𝐸𝑇 ≅ ∆𝑊𝑂𝐵
O
Y
O
𝑛𝑜𝑛𝑒
I
Given: TR  RK , AR  RC
A
Given: DS bisects IDC , IS = CS
I
C
T
D
R
S
C
K
𝑆𝐴𝑆
∆𝐴𝑅𝑇 ≅ ∆𝐶𝑅𝐾
𝑛𝑜𝑛𝑒
Given: ET HG, EI  IG
E
T
Given: GR  FO , FR  RO
G
I
H
G
𝑡𝑤𝑜 𝑝𝑎𝑟𝑎𝑙𝑙𝑒𝑙 𝑙𝑖𝑛𝑒𝑠 → 𝑠𝑝𝑒𝑐𝑖𝑎𝑙 𝑎𝑛𝑔𝑙𝑒𝑠
𝐴𝑆𝐴
∆𝑇𝐼𝐸 ≅ ∆𝐻𝐼𝐺
F
R
O
𝑆𝐴𝑆
∆𝐺𝑅𝐹 ≅ ∆𝐺𝑅𝑂